TSTP Solution File: SYO459^6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO459^6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yRzI419SGu true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:51:24 EDT 2023
% Result : Theorem 0.22s 0.78s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 83 ( 38 unt; 15 typ; 0 def)
% Number of atoms : 172 ( 27 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 393 ( 65 ~; 50 |; 4 &; 266 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 120 ( 42 ^; 78 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(rel_s5_type,type,
rel_s5: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(mdia_s5_type,type,
mdia_s5: ( $i > $o ) > $i > $o ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mbox_s5_type,type,
mbox_s5: ( $i > $o ) > $i > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mdia_s5,axiom,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_s5,axiom,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s5]) ).
thf('1',plain,
( mbox_s5
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s5 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('2',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('3',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_s5,'1','3']) ).
thf('5',plain,
( mdia_s5
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('6',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('7',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','3']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mdia_s5 @ ( mbox_s5 @ p ) ) @ ( mdia_s5 @ ( mbox_s5 @ ( mdia_s5 @ ( mbox_s5 @ p ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X6: $i] :
( ~ ! [X8: $i] :
( ( p @ X8 )
| ~ ( rel_s5 @ X6 @ X8 ) )
| ~ ( rel_s5 @ X4 @ X6 ) )
| ~ ! [X10: $i] :
( ~ ! [X12: $i] :
( ~ ! [X14: $i] :
( ~ ! [X16: $i] :
( ( p @ X16 )
| ~ ( rel_s5 @ X14 @ X16 ) )
| ~ ( rel_s5 @ X12 @ X14 ) )
| ~ ( rel_s5 @ X10 @ X12 ) )
| ~ ( rel_s5 @ X4 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X6: $i] :
( ~ ! [X8: $i] :
( ( p @ X8 )
| ~ ( rel_s5 @ X6 @ X8 ) )
| ~ ( rel_s5 @ X4 @ X6 ) )
| ~ ! [X10: $i] :
( ~ ! [X12: $i] :
( ~ ! [X14: $i] :
( ~ ! [X16: $i] :
( ( p @ X16 )
| ~ ( rel_s5 @ X14 @ X16 ) )
| ~ ( rel_s5 @ X12 @ X14 ) )
| ~ ( rel_s5 @ X10 @ X12 ) )
| ~ ( rel_s5 @ X4 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( rel_s5 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
rel_s5 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('12',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('13',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
mtransitive @ rel_s5 ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rel_s5 @ X4 @ X6 )
& ( rel_s5 @ X6 @ X8 ) )
=> ( rel_s5 @ X4 @ X8 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X2 )
| ( rel_s5 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( rel_s5 @ sk__8 @ X0 )
| ~ ( rel_s5 @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl34,plain,
( ~ ( rel_s5 @ sk__8 @ sk__9 )
| ( rel_s5 @ sk__8 @ ( sk__10 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl20]) ).
thf(zip_derived_cl7_001,plain,
rel_s5 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
rel_s5 @ sk__8 @ ( sk__10 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X2 )
| ( rel_s5 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( rel_s5 @ sk__8 @ X0 )
| ~ ( rel_s5 @ ( sk__10 @ sk__9 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('14',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('15',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s5 ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( rel_s5 @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_s5 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s5 @ ( sk__10 @ X0 ) @ X1 )
| ( rel_s5 @ X1 @ ( sk__11 @ X1 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ~ ( rel_s5 @ sk__8 @ X0 )
| ( rel_s5 @ ( sk__10 @ X0 ) @ ( sk__11 @ ( sk__10 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl128,plain,
( ( rel_s5 @ sk__8 @ ( sk__11 @ ( sk__10 @ sk__9 ) ) )
| ~ ( rel_s5 @ sk__8 @ sk__9 ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl102]) ).
thf(zip_derived_cl7_003,plain,
rel_s5 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl134,plain,
rel_s5 @ sk__8 @ ( sk__11 @ ( sk__10 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl7]) ).
thf(zip_derived_cl7_004,plain,
rel_s5 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('16',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('17',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(a3,axiom,
msymmetric @ rel_s5 ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i] :
( ( rel_s5 @ X4 @ X6 )
=> ( rel_s5 @ X6 @ X4 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X2 )
| ( rel_s5 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s5 @ X0 @ X1 )
| ( rel_s5 @ X1 @ X2 )
| ~ ( rel_s5 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] :
( ~ ( rel_s5 @ sk__8 @ X0 )
| ( rel_s5 @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl66]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
( ( p @ X2 )
| ~ ( rel_s5 @ sk__9 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl223,plain,
! [X0: $i] :
( ~ ( rel_s5 @ sk__8 @ X0 )
| ( p @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl6]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i] :
( ( rel_s5 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s5 @ ( sk__10 @ X0 ) @ X1 )
| ~ ( p @ ( sk__11 @ X1 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_s5 @ X0 @ ( sk__10 @ X1 ) )
| ~ ( rel_s5 @ sk__8 @ X1 )
| ~ ( p @ ( sk__11 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( rel_s5 @ sk__8 @ X0 )
| ~ ( p @ ( sk__11 @ X0 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl119]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ~ ( p @ ( sk__11 @ X0 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl267,plain,
! [X0: $i] :
( ~ ( rel_s5 @ sk__8 @ ( sk__11 @ X0 ) )
| ~ ( rel_s5 @ sk__8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl196]) ).
thf(zip_derived_cl272,plain,
~ ( rel_s5 @ sk__8 @ ( sk__10 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl267]) ).
thf(zip_derived_cl40_008,plain,
rel_s5 @ sk__8 @ ( sk__10 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).
thf(zip_derived_cl274,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO459^6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yRzI419SGu true
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 05:09:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % Solved by lams/40_c.s.sh.
% 0.22/0.78 % done 119 iterations in 0.057s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% See solution above
% 0.22/0.78
% 0.22/0.78
% 0.22/0.78 % Terminating...
% 0.22/0.85 % Runner terminated.
% 0.22/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------